Asymptotic Behavior of the Solutions of an Elliptic-parabolic System Arising in Flow in Porous Media

Free connective flow of a micropolar fluid a long an elliptic cylinder in porous media using the thermal non-equilibrium model

An experimental study on hydraulic behavior of free-surface radial flow in coarse-grained porous media

The equations of fluids in porous media are very useful in designing the rockfill and diversion dams, gabions, breakwaters and ground water reserves. Researches have been showed that the Forchheimer equation is not sufficient for the analysis of hydraulic behavior of free-surface radial flows; because, in these flows, in addition to the hydraulic gradient and velocity, the variable of radius is...

A note on the solution of a coupled parabolic- elliptic system arising in linear stability analysis of gravity-driven porous media flow

In this note we consider a coupled parabolic-elliptic system. We show existence, uniqueness, and regularity of the system by using a contraction argument. The presented results have applications to the linear stability analysis of gravity-driven flow. Mathematics Subject Classification (2000). 35M10,35B05,35C15,76E20.

Second Law Based Analysis of Fluid Flow in the Regenerator of Pulse Tube Refrigerators

As a necessary component, regenerator plays an important role in the refrigeration performance of the pulse tube refrigerator. The objective of this research is to investigate the flow characteristics in a porous regenerator of the pulse tube refrigerators, subjected to oscillating flow. The hydrodynamic and thermal behavior of the regenerator is investigated by considering porous media approac...

Solute Transport in Porous Media with Equilibrium and Non{equilibrium Multiple{site Adsorption: Uniqueness of Weak Solutions

We consider a nonlinear degenerate parabolic or nonlinear hyperbolic system arising from porous media ow modelling. We prove an L 1-contraction principle and uniqueness for weak solutions without any further regularity assumptions.